Divide and verify your answer by the division algorithm :
a. 6x⁴ + 11x³ - 25x² + 14x - 10 by x² - x - 2
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f(x) = x3 - 6x2 + 11x - 6 and g( x) = x2 + x + 1. Clearly ... less than 2. Let quotient q(x) = ax + b and remainder r(x) = cx + d.(a) x - 6x² + 11x - 6 by x - 3 (b) 4x³ + 2x² - 18x + 25 by x + 2 (c) 6x⁴+ 11x³ - 25x² + 14x - 10 by x² - x - 2 (d) 8x⁴ + 10x³ - 7x² + 8x - 4 by 4x² - x + 2. 1 .
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